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Shape optimization and spectral theory (Hardcover)
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Shape optimization and spectral theory (Hardcover)
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"Shape optimization and spectral theory" is a survey book aiming to
give an overview of recent results in spectral geometry and its
links with shape optimization. It covers most of the issues which
are important for people working in PDE and differential geometry
interested in sharp inequalities and qualitative behaviour for
eigenvalues of the Laplacian with different kind of boundary
conditions (Dirichlet, Robin and Steklov). This includes: existence
of optimal shapes, their regularity, the case of special domains
like triangles, isospectrality, quantitative form of the
isoperimetric inequalities, optimal partitions, universal
inequalities and numerical results. Much progress has been made in
these extremum problems during the last ten years and this edited
volume presents a valuable update to a wide community interested in
these topics. List of contributors Antunes Pedro R.S., Ashbaugh
Mark, Bonnaillie-Noel Virginie, Brasco Lorenzo, Bucur Dorin,
Buttazzo Giuseppe, De Philippis Guido, Freitas Pedro, Girouard
Alexandre, Helffer Bernard, Kennedy James, Lamboley Jimmy, Laugesen
Richard S., Oudet Edouard, Pierre Michel, Polterovich Iosif,
Siudeja Bartlomiej A., Velichkov Bozhidar
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